Least Common Multiple of 448/26, 404/78, 813/448

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 448/26, 404/78, 813/448 quickly i.e. 18393312 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 448/26, 404/78, 813/448 is 18393312.

LCM(448/26, 404/78, 813/448) = 18393312

LCM of 448/26, 404/78, 813/448

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 448/26,404/78,813/448

Given numbers are 448/26,404/78,813/448

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 448,404,813

Least Common Multiple of Numerators i.e. LCM of 448,404,813 is 36786624.

GCF of Denominators means GCF of 26,78,448 as per the given fractions.

GCF of 26,78,448 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 448,404,813

LCM of Fractions 448/26,404/78,813/448 is 18393312

2 448, 404, 813
2 224, 202, 813
112, 101, 813

∴ So the LCM of the given numbers is 2 x 2 x 112 x 101 x 813 = 36786624

Least Common Multiple of 448,404,813 with GCF Formula

Least Common Multiple of 448,404,813 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 448,404,813 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(448,404,813) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(448,404,813) x common factors =1 x 4 = 4

LCM(448,404,813) = ( 448 × 404 × 813 ) / 4

LCM(448,404,813) = 147146496 / 4

LCM(448,404,813) = 36786624


Lets's calculate GCF of 26,78,448

2 26, 78, 448
13, 39, 224

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 36786624/2

Therefore the LCM of Fractions 448/26,404/78,813/448 is 18393312

Greatest Common Factor of 26,78,448 By Matching Biggest Common Factor Method

Greatest Common Factor of 26,78,448 By Matching Biggest Common Factor Method

Factors of 26

List of positive integer factors of 26 that divides 26 without a remainder.

1,2,13,26

Factors of 78

List of positive integer factors of 78 that divides 78 without a remainder.

1,2,3,6,13,26,39,78

Factors of 448

List of positive integer factors of 448 that divides 448 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,224,448

Greatest Common Factor

We found the factors 26,78,448 . The biggest common factor number is the GCF number.
So the greatest common factor 26,78,448 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 448/26, 404/78, 813/448

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 448/26, 404/78, 813/448?

Answer: LCM of Numerators as per given numbers 448/26, 404/78, 813/448 is

LCM of Numerators i.e. for 448,404,813 is 36786624

GCF of denominators i.e. for 26,78,448 is 2.

Thus, LCM of Fractions is 18393312.Finally, LCM of Fractions for 448/26, 404/78, 813/448 is 18393312.